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1. (a) Calculate mean. median and mode from the following frequency distribution of marks at a test in English.
Marks 5
10 15
20 25
30 35 40
45 50
.No. of studems: 20
43 75
76 72
45 39 9
8 6
(b) Geometric mean of 2 numbers is 15. If by mistake one figure is taken as 5, instead of 1, find correct geometric mean.
2. (a) A market with 330 firms has the following distribution of average number of laborers in different income groups:
Incommensurable
(value) Rs.
450
750
1050
1350
1650
No. of firms
80
64
52
56
78
Average no. ofworkers
16
24
15
17
8
Find the median income of all the orders.
(b) Determine the Geometric mean for the following values:
X 5 8 12 16
one box contains six red balls and four green balls and a second box contains seven red balls and three green balls. a
How large a sample should you take if you want to be 95% confident of the results and you want the error of the confidence interval to be no more than .05?
A group of 3 students is to be selected from a group of 12 students to take part in a class in cell biology.
question sat versus actthere are two major tests of readiness for college the sat and the act. while act are reported
A survey of undergraduate students in the School of Business at Northern University revealed the following regarding the gender and majors of the students:
Describe in some detail how a hypothesis test could be used in some real world context such as business, politics, church, Girl Scouts, school, or perhaps your place of work.
Items coming off a production line are categorized as good (G), slightly blemished (B), and defective (D), and the percentages are 80%, 15% and 5%, respectively.
question 1. what is a lsquorandom sample?question 2. explain the terms simple random sampling systematic sampling
it is known that the white shark grows to a mean length of 22 feet however one marine biologist believes that great
construct a confidence interval of the population proportion at the given level of confidence x 540 n 1200 90
For the experiments defined in Questions 1-4, write the set of all possible outcomes (the outcome space), also note whether the outcomes are equally likely, and whether they are mutually exclusive.
In a two-tailed test, with n = 20, the computed value of t is found to be t* = 1.85. Assuming the sample is randomly selected from a normal population, then the p-value is given by:
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